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83012211221038 = 21153751222142683
BaseRepresentation
bin10010110111111111001001…
…010111001010001000101110
3101212220220000201200121012221
4102313333021113022020232
541340033002033033123
6452315141112545554
723325301660052101
oct2267771127121056
9355826021617187
1083012211221038
11244a5310123a30
1293883a56b22ba
13374203050c4a8
14166db5356c738
1598e51122225d
hex4b7fc95ca22e

83012211221038 has 64 divisors (see below), whose sum is σ = 138651083265024. Its totient is φ = 36954075600000.

The previous prime is 83012211220973. The next prime is 83012211221123.

83012211221038 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 83012211220994 and 83012211221012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1944832845 + ... + 1944875527.

It is an arithmetic number, because the mean of its divisors is an integer number (2166423176016).

Almost surely, 283012211221038 is an apocalyptic number.

83012211221038 is a deficient number, since it is larger than the sum of its proper divisors (55638872043986).

83012211221038 is a wasteful number, since it uses less digits than its factorization.

83012211221038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45721.

The product of its (nonzero) digits is 9216, while the sum is 34.

It can be divided in two parts, 8301221 and 1221038, that added together give a palindrome (9522259).

The spelling of 83012211221038 in words is "eighty-three trillion, twelve billion, two hundred eleven million, two hundred twenty-one thousand, thirty-eight".

Divisors: 1 2 11 22 53 106 583 751 1166 1502 2221 4442 8261 16522 24431 39803 42683 48862 79606 85366 117713 235426 437833 469513 875666 939026 1294843 1667971 2262199 2589686 3335942 4524398 18347681 24884189 32054933 36695362 49768378 64109866 88402463 94798943 176804926 189597886 352604263 705208526 972427093 1042788373 1698911449 1944854186 2085576746 3397822898 5024343979 10048687958 18688025939 37376051878 55267783769 71194006193 110535567538 142388012386 783134068123 1566268136246 3773282328229 7546564656458 41506105610519 83012211221038